Use the checkboxes to graph the equations or inequalities listed. The slider m adjusts the slope m in the equations and inequalities. The slider b adjusts the y intercept. Answer the questions below.
1. How does the graph of y = mx + b differ from the graphs of the inequalities?
2. Which graphs are most similar? How do those pairs differ?
3. Adjust m to be positive. When you do this, which inequalities have shading to the right of the line? Which ones have shading to the left? Change m to a few other positive values to see if this relationship holds.
4. Adjust m to be negative. When you do this, which inequalities have shading to the right of the line? Which ones have shading to the left? Change m to a few other negative values to see if this relationship holds.
5. Adjust m to be zero. When you do this, which inequalities have shading above the line? Which ones have shading below?
6. How does adjusting the value of b affect the graphs?
7. Using what you have learned from this interactive, write a short paragraph describing the process of graphing an inequality - what kind of line, shading, etc.